Finite Group Databasebeta

← #35569754

Subgroups — #35569754

Order 21248.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128346C211yesmaximal, characteristic
2#24910627C211yesmaximal, characteristic, complemented
3#24910618C211yesmaximal, characteristic, complemented
4#24910609C211yesmaximal, characteristic, complemented
5#24910603C211yesmaximal, characteristic, complemented
6#24910573C211yesmaximal, characteristic, complemented
7#24910510C211yesmaximal, characteristic, complemented
8#24910499C211yesmaximal, characteristic, complemented
9#24910457C211yesmaximal, characteristic, complemented
10#24910445C211yesmaximal, characteristic, complemented
11#24910396C211yesmaximal, characteristic, complemented
12#24910309C211yesmaximal, characteristic, complemented
13#24910305C211yesmaximal, characteristic, complemented
14#24910289C211yesmaximal, characteristic, complemented
15#24910281C211yesmaximal, characteristic, complemented
16#24910273C211yesmaximal, characteristic, complemented
17#24910246C211yesmaximal, characteristic, complemented
18#24910225C211yesmaximal, characteristic, complemented
19#24910215C211yesmaximal, characteristic, complemented
20#24910162C211yesmaximal, characteristic, complemented
21#24910134C211yesmaximal, characteristic, complemented
22#24910123C211yesmaximal, characteristic, complemented
23#24910116C211yesmaximal, characteristic, complemented
24#24910107C211yesmaximal, characteristic, complemented
25#24910058C211yesmaximal, characteristic, complemented
26#24910050C211yesmaximal, characteristic, complemented
27#24910037C211yesmaximal, characteristic, complemented
28#24909969C211yesmaximal, characteristic, complemented
29#24909908C211yesmaximal, characteristic, complemented
30C2×#19127590C211yesmaximal, characteristic, complemented
31C83×#2353C211yesmaximal, characteristic, complemented
32C22×#13050589C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34#19128346C4116yescomplemented
35C2×#14581780C2211yescharacteristic
36C2×#14581776C2211yescharacteristic
37C2×#14581776C2211yescharacteristic
38C2×#14581772C2211yescharacteristic
39C2×#14581767C2211yescharacteristic
40C2×#14581766C2211yescharacteristic
41C2×#14581766C2211yescharacteristic
42C2×#14581762C2211yescharacteristic
43C2×#14581762C2211yescharacteristic
44C2×C4×D332C2211yescharacteristic
45C2×C4×D332C2211yescharacteristic, complemented
46C2×#14581754C2211yescharacteristic, complemented
47C2×C4×C22⋊D83C2211yescharacteristic
48C2×C4×C22⋊D83C2211yescharacteristic, complemented
49C2×(C22⋊D83)⋊C4C2211yescharacteristic
50C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
51C2×#14581751C2211yescharacteristic, complemented
52C2×#14581748C2211yescharacteristic, complemented
53C22×Dic83⋊C4C2211yescharacteristic, complemented
54C22×(C2×D83)⋊C4C2211yescharacteristic
55C22×(C2×D83)⋊C4C2211yescharacteristic
56C22×(C2×D83)⋊C4C2211yescharacteristic
57C22×(C2×D83)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D83C2211yescharacteristic
59C2×C22⋊C4×D83C2211yescharacteristic
60C22×C4×Dic83C2211yescharacteristic, complemented
61#19127605C2211yescharacteristic, complemented
62#19127605C2211yescharacteristic, complemented
63#19127605C2211yescharacteristic, complemented
64#19127605C2211yescharacteristic, complemented
65#19127603C2211yescharacteristic
66#19127603C2211yescharacteristic
67#19127603C2211yescharacteristic, complemented
68#19127602C2211yescharacteristic, complemented
69#19127601C2211yescharacteristic
70#19127601C2211yescharacteristic
71#19127601C2211yescharacteristic, complemented
72#19127601C2211yescharacteristic, complemented
73#19127599C2211yescharacteristic, complemented
74#19127599C2211yescharacteristic, complemented
75#19127599C2211yescharacteristic, complemented
76#19127597C2211yescharacteristic, complemented
77#19127594C2211yescharacteristic, complemented
78#19127594C2211yescharacteristic, complemented
79#19127593C2211yescharacteristic
80#19127593C2211yescharacteristic
81#19127593C2211yescharacteristic, complemented
82#19127593C2211yescharacteristic, complemented
83#19127592C2211yescharacteristic
84#19127592C2211yescharacteristic
85#19127592C2211yescharacteristic, complemented
86#19127592C2211yescharacteristic, complemented
87#19127592C2211yescharacteristic, complemented
88#19127592C2211yescharacteristic, complemented
89#19127591C2211yescharacteristic
90#19127591C2211yescharacteristic
91#19127590C2211yescharacteristic
92#19127590C2211yescharacteristic
93#19127590C2211yescharacteristic
94#19127590C2211yescharacteristic
95#19127590C2211yescharacteristic
96#19127590C2211yescharacteristic
97#19127590C2211yescharacteristic, complemented
98#19127590C2211yescharacteristic, complemented
99#19127590C2211yescharacteristic, complemented
100#19127590C2211yescharacteristic, complemented
101#19127590C2211yescharacteristic, complemented
102#19127590C2211yescharacteristic, complemented
103#19127590C2211yescharacteristic, complemented
104#19127590C2211yescharacteristic, complemented
105#19127587C2211yescharacteristic, complemented
106#19127587C2211yescharacteristic, complemented
107#19127586C2211yescharacteristic, complemented
108#19127586C2211yescharacteristic, complemented
109#19127586C2211yescharacteristic, complemented
110#19127586C2211yescharacteristic, complemented
111#19127584C2211yescharacteristic, complemented
112#19127584C2211yescharacteristic, complemented
113#19127581C2211yescharacteristic
114#19127581C2211yescharacteristic
115#19127580C2211yescharacteristic
116#19127580C2211yescharacteristic, complemented
117#19127579C2211yescharacteristic
118#19127579C2211yescharacteristic
119#19127579C2211yescharacteristic
120#19127579C2211yescharacteristic
121#19127579C2211yescharacteristic
122#19127579C2211yescharacteristic
123#19127579C2211yescharacteristic, complemented
124#19127579C2211yescharacteristic, complemented
125#19127579C2211yescharacteristic, complemented
126#19127579C2211yescharacteristic, complemented
127#19127578C2211yescharacteristic
128#19127578C2211yescharacteristic, complemented
129#19127577C2211yescharacteristic
130#19127577C2211yescharacteristic
131#19127577C2211yescharacteristic, complemented
132#19127577C2211yescharacteristic, complemented
133#19127576C2211yescharacteristic, complemented
134#19127576C2211yescharacteristic, complemented
135#19127575C2211yescharacteristic, complemented
136#19127575C2211yescharacteristic, complemented
137#19127575C2211yescharacteristic, complemented
138#19127575C2211yescharacteristic, complemented
139#19127572C2211yescharacteristic, complemented
140#19127572C2211yescharacteristic, complemented
141#19127563C2211yescharacteristic
142#19127563C2211yescharacteristic
143#19127563C2211yescharacteristic, complemented
144#19127562C2211yescharacteristic, complemented
145#19127560C2211yescharacteristic
146#19127560C2211yescharacteristic, complemented
147#19127560C2211yescharacteristic, complemented
148#19127559C2211yescharacteristic, complemented
149#19127559C2211yescharacteristic, complemented
150#19127559C2211yescharacteristic, complemented
151#19127556C2211yescharacteristic
152#19127556C2211yescharacteristic
153#19127556C2211yescharacteristic
154#19127556C2211yescharacteristic
155C4⋊C4×Dic83C2211yescharacteristic, complemented
156C4×C4⋊Dic83C2211yescharacteristic, complemented
157C4×C4⋊Dic83C2211yescharacteristic, complemented
158C22⋊C4×Dic83C2211yescharacteristic, complemented
159C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic83C2211yescharacteristic, complemented
162C4×C22⋊Dic83C2211yescharacteristic, complemented
163#19127548C2211yescharacteristic
164#19127548C2211yescharacteristic, complemented
165#19127548C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic, complemented
167#19127548C2211yescharacteristic, complemented
168#19127548C2211yescharacteristic, complemented
169#19127548C2211yescharacteristic, complemented
170#19127547C2211yescharacteristic, complemented
171C2×C83⋊#95C2211yescharacteristic, complemented
172#95×D83C2211yescharacteristic, complemented
173C2×C4×D4×C83C2211yescharacteristic
174#388×C83C2211yescharacteristic, complemented
175#388×C83C2211yescharacteristic, complemented
176#387×C83C2211yescharacteristic, complemented
177#387×C83C2211yescharacteristic, complemented
178#386×C83C2211yescharacteristic
179#386×C83C2211yescharacteristic
180#383×C83C2211yescharacteristic, complemented
181#381×C83C2211yescharacteristic, complemented
182#380×C83C2211yescharacteristic, complemented
183C4×C22⋊C4×C83C2211yescharacteristic, complemented
184C4×C22⋊C4×C83C2211yescharacteristic, complemented
185C4×C22⋊C4×C83C2211yescharacteristic, complemented
186#376×C83C2211yescharacteristic, complemented
187C2×#95×C83C2211yescharacteristic, complemented
188C24×D83C2311yescharacteristic
189C24×D83C2311yescharacteristic
190C2×#13050589—42no—
191C2×#13050589—42no—
192C2×#13050589C2×C418yescomplemented
193C22×Dic166C2311yescharacteristic
194C22×D332C2311yescharacteristic
195C22×D332C2311yescharacteristic
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×C22⋊D83C2311yescharacteristic
199C22×C22⋊D83C2311yescharacteristic
200C22×C22⋊D83C2311yescharacteristic
201C22×C22⋊D83C2311yescharacteristic
202C2×D4×D83—42no—
203C2×D4×D83—42no—
204C2×D4×D83C2×C418yescomplemented
205C23×Dic83C2311yescharacteristic
206C23×Dic83C2311yescharacteristic
207C23×Dic83C2311yescharacteristic
208C23×Dic83C2311yescharacteristic
209C22×C4×D83C2311yescharacteristic
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217#14581780C2×C418yescomplemented
218#14581776C2×C418yescomplemented
219#14581776C2×C418yescomplemented
220#14581772C2×C418yescomplemented
221#14581767C2×C418yescomplemented
222#14581766C2×C418yescomplemented
223#14581766C2×C418yescomplemented
224#14581762C2×C418yescomplemented
225#14581762C2×C418yescomplemented
226C4×D332—42no—
227C4×D332C2×C418yescomplemented
228#14581754—42no—
229C4×C22⋊D83—42no—
230C4×C22⋊D83—42no—
231(C22⋊D83)⋊C4—42no—
232(C22⋊D83)⋊C4—42no—
233#14581751—42no—
234#14581748—42no—
235C2×C4⋊Dic83C2311yescharacteristic
236C2×C4⋊Dic83C2311yescharacteristic
237C2×C4⋊Dic83C2311yescharacteristic
238C2×C4⋊Dic83C2311yescharacteristic
239C2×C4⋊Dic83C2311yescharacteristic
240C2×C4⋊Dic83C2311yescharacteristic
241C2×C4⋊Dic83C2311yescharacteristic
242C2×Dic83⋊C4—42no—
243C2×Dic83⋊C4C2311yescharacteristic
244C2×Dic83⋊C4C2311yescharacteristic
245C2×Dic83⋊C4C2311yescharacteristic
246C2×Dic83⋊C4C2311yescharacteristic
247C2×Dic83⋊C4C2311yescharacteristic
248C2×Dic83⋊C4C2311yescharacteristic
249C2×Dic83⋊C4C2311yescharacteristic
250C2×Dic83⋊C4C2311yescharacteristic
251C2×Dic83⋊C4C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×C22⋊Dic83C2311yescharacteristic
254C2×C22⋊Dic83C2311yescharacteristic
255C2×C22⋊Dic83C2311yescharacteristic
256C2×C22⋊Dic83C2311yescharacteristic
257C2×C22⋊Dic83C2311yescharacteristic
258C2×C22⋊Dic83C2311yescharacteristic
259C2×(C2×D83)⋊C4—42no—
260C2×(C2×D83)⋊C4—42no—
261C2×(C2×D83)⋊C4C2×C418yescomplemented
262C2×(C2×D83)⋊C4C2×C418yescomplemented
263C2×(C2×D83)⋊C4C2311yescharacteristic
264C2×(C2×D83)⋊C4C2311yescharacteristic
265C2×(C2×D83)⋊C4C2311yescharacteristic
266C2×(C2×D83)⋊C4C2311yescharacteristic
267C2×(C2×D83)⋊C4C2311yescharacteristic
268C2×(C2×D83)⋊C4C2311yescharacteristic
269C2×(C2×D83)⋊C4C2311yescharacteristic
270C2×(C2×D83)⋊C4C2311yescharacteristic
271C2×(C2×D83)⋊C4C2311yescharacteristic
272C2×(C2×D83)⋊C4C2311yescharacteristic
273C2×(C2×D83)⋊C4C2311yescharacteristic
274C2×(C2×D83)⋊C4C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C22⋊C4×D83—42no—
300C22⋊C4×D83—42no—
301C2×C4×Dic83—42no—
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C83⋊#95C2311yescharacteristic
315C83⋊#95C2311yescharacteristic
316C83⋊#95C2311yescharacteristic
317C83⋊#95C2311yescharacteristic
318C83⋊#95C2311yescharacteristic
319C83⋊#95C2311yescharacteristic
320C83⋊#95C2311yescharacteristic
321C83⋊#95C2311yescharacteristic
322C83⋊#95C2311yescharacteristic
323C83⋊#95C2311yescharacteristic
324C83⋊#95C2311yescharacteristic
325C83⋊#95C2311yescharacteristic
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C22×D4×C83C2311yescharacteristic
341C23×C4×C83C2311yescharacteristic
342C23×C4×C83C2311yescharacteristic
343C23×C4×C83C2311yescharacteristic
344C23×C4×C83C2311yescharacteristic
345C4×D4×C83C2×C418yescomplemented
346C2×C4⋊C4×C83C2311yescharacteristic
347C2×C4⋊C4×C83C2311yescharacteristic
348C2×C4⋊C4×C83C2311yescharacteristic
349C2×C22⋊C4×C83C2311yescharacteristic
350C2×C22⋊C4×C83C2311yescharacteristic
351C2×C22⋊C4×C83C2311yescharacteristic
352C2×C22⋊C4×C83C2311yescharacteristic
353C2×C22⋊C4×C83C2311yescharacteristic
354C2×C22⋊C4×C83C2311yescharacteristic
355C2×C22⋊C4×C83C2311yescharacteristic
356C2×C22⋊C4×C83C2311yescharacteristic
357C2×C42×C83C2311yescharacteristic
358C2×C42×C83C2311yescharacteristic
359C2×C42×C83C2311yescharacteristic
360C2×C42×C83C2311yescharacteristic
361C2×C42×C83C2311yescharacteristic
362#95×C83C2311yescharacteristic
363#95×C83C2311yescharacteristic
364#95×C83C2311yescharacteristic
365#95×C83C2311yescharacteristic
366#95×C83C2311yescharacteristic
367#95×C83C2311yescharacteristic
368#95×C83C2311yescharacteristic
369#95×C83C2311yescharacteristic
370#95×C83C2311yescharacteristic
371#95×C83C2311yescharacteristic
372#95×C83C2311yescharacteristic
373#95×C83C2311yescharacteristic
374#95×C83C2311yescharacteristic
375#95×C83C2311yescharacteristic
376C23×D83—22no—
377C23×D83—22no—
378C23×D83—41no—
379C23×D83—41no—
380C23×D83—41no—
381C23×D83—41no—
382C23×D83—41no—
383C23×D83—41no—
384C23×D83—41no—
385C23×D83—41no—
386C23×D83—41no—
387C23×D83—41no—
388C23×D83C22×C414yes—
389C23×D83C22×C414yes—
390C23×D83C2411yescharacteristic
391C23×D83C2411yescharacteristic
392C23×D83C2411yescharacteristic
393C23×D83C2411yescharacteristic
394#13050589—416no—
395C2×Dic166—41no—
396C2×Dic166—41no—
397C2×Dic166C22×C414yes—
398C2×D332—41no—
399C2×D332—41no—
400C2×D332—41no—
401C2×D332—41no—
402C2×D332—41no—
403C2×D332—41no—
404C2×D332—41no—
405C2×D332—41no—
406C2×D332C22×C414yes—
407C2×D332C22×C414yes—
408C2×D332C22×C414yes—
409C2×D332C22×C414yes—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—41no—
415C2×C22⋊D83—41no—
416C2×C22⋊D83—41no—
417C2×C22⋊D83—41no—
418C2×C22⋊D83C22×C414yes—
419C2×C22⋊D83C22×C414yes—
420C2×C22⋊D83C22×C414yes—
421C2×C22⋊D83C22×C414yes—
422D4×D83—416no—
423C22×Dic83—22no—
424C22×Dic83—22no—
425C22×Dic83—22no—
426C22×Dic83—22no—
427C22×Dic83—22no—
428C22×Dic83—41no—
429C22×Dic83—41no—
430C22×Dic83—41no—
431C22×Dic83—41no—
432C22×Dic83—41no—
433C22×Dic83C22×C414yes—
434C22×Dic83C22×C414yes—
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C2×C4×D83—22no—
448C2×C4×D83—22no—
449C2×C4×D83—41no—
450C2×C4×D83—41no—
451C2×C4×D83—41no—
452C2×C4×D83—41no—
453C2×C4×D83—41no—
454C2×C4×D83—41no—
455C2×C4×D83—41no—
456C2×C4×D83—41no—
457C2×C4×D83—41no—
458C2×C4×D83—41no—
459C2×C4×D83—41no—
460C2×C4×D83—41no—
461C2×C4×D83—41no—
462C2×C4×D83—41no—
463C2×C4×D83—41no—
464C2×C4×D83—41no—
465C2×C4×D83—41no—
466C2×C4×D83—41no—
467C2×C4×D83—41no—
468C2×C4×D83—41no—
469C2×C4×D83C22×C414yes—
470C2×C4×D83C22×C414yes—
471C4⋊Dic83—22no—
472C4⋊Dic83—41no—
473C4⋊Dic83—41no—
474C4⋊Dic83—41no—
475C4⋊Dic83C22×C414yes—
476C4⋊Dic83C22×C414yes—
477C4⋊Dic83C22×C414yes—
478Dic83⋊C4—41no—
479Dic83⋊C4—41no—
480Dic83⋊C4—41no—
481Dic83⋊C4—41no—
482Dic83⋊C4—41no—
483Dic83⋊C4—41no—
484Dic83⋊C4—41no—
485Dic83⋊C4—41no—
486Dic83⋊C4—41no—
487Dic83⋊C4—41no—
488C22⋊Dic83—22no—
489C22⋊Dic83—22no—
490C22⋊Dic83—22no—
491C22⋊Dic83—41no—
492C22⋊Dic83—41no—
493C22⋊Dic83—41no—
494(C2×D83)⋊C4—22no—
495(C2×D83)⋊C4—22no—
496(C2×D83)⋊C4—41no—
497(C2×D83)⋊C4—41no—
498(C2×D83)⋊C4—41no—
499(C2×D83)⋊C4—41no—
500(C2×D83)⋊C4—41no—
501(C2×D83)⋊C4—41no—
502(C2×D83)⋊C4—41no—
503(C2×D83)⋊C4—41no—
504(C2×D83)⋊C4—41no—
505(C2×D83)⋊C4—41no—
506(C2×D83)⋊C4—41no—
507(C2×D83)⋊C4—41no—
508(C2×D83)⋊C4—41no—
509(C2×D83)⋊C4—41no—
510(C2×D83)⋊C4—41no—
511(C2×D83)⋊C4—41no—
512(C2×D83)⋊C4—41no—
513(C2×D83)⋊C4—41no—
514(C2×D83)⋊C4—41no—
515(C2×D83)⋊C4—41no—
516(C2×D83)⋊C4—41no—
517(C2×D83)⋊C4—41no—
518(C2×D83)⋊C4—41no—
519(C2×D83)⋊C4—41no—
520(C2×D83)⋊C4C22×C414yes—
521(C2×D83)⋊C4C22×C414yes—
522(C2×D83)⋊C4C22×C414yes—
523(C2×D83)⋊C4C22×C414yes—
524(C2×D83)⋊C4C22×C414yes—
525(C2×D83)⋊C4C22×C414yes—
526(C2×D83)⋊C4C22×C414yes—
527(C2×D83)⋊C4C22×C414yes—
528(C2×D83)⋊C4C22×C414yes—
529(C2×D83)⋊C4C22×C414yes—
530C4×Dic83—22no—
531C4×Dic83—22no—
532C4×Dic83—41no—
533C4×Dic83—41no—
534C4×Dic83—41no—
535C4×Dic83—41no—
536C4×Dic83—41no—
537C4×Dic83—41no—
538C4×Dic83—41no—
539C4×Dic83—41no—
540C4×Dic83—41no—
541C4×Dic83—41no—
542C24×C83C2411yescharacteristic
543C24×C83C2411yescharacteristic
544C2×D4×C83—22no—
545C2×D4×C83—22no—
546C2×D4×C83C22×C414yes—
547C22×C4×C83—22no—
548C22×C4×C83—22no—
549C22×C4×C83—41no—
550C22×C4×C83—41no—
551C22×C4×C83—41no—
552C22×C4×C83—41no—
553C22×C4×C83—41no—
554C22×C4×C83—41no—
555C22×C4×C83—41no—
556C22×C4×C83—41no—
557C22×C4×C83C22×C414yes—
558C22×C4×C83C22×C414yes—
559C22×C4×C83C2411yescharacteristic
560C22×C4×C83C2411yescharacteristic
561C22×C4×C83C2411yescharacteristic
562C22×C4×C83C2411yescharacteristic
563C22×C4×C83C2411yescharacteristic
564C22×C4×C83C2411yescharacteristic
565C22×C4×C83C2411yescharacteristic
566C22×C4×C83C2411yescharacteristic
567C22×C4×C83C2411yescharacteristic
568C22×C4×C83C2411yescharacteristic
569C22×C4×C83C2411yescharacteristic
570C22×C4×C83C2411yescharacteristic
571C22×C4×C83C2411yescharacteristic
572C4⋊C4×C83—41no—
573C4⋊C4×C83—41no—
574C4⋊C4×C83C22×C414yes—
575C22⋊C4×C83—22no—
576C22⋊C4×C83—22no—
577C22⋊C4×C83—41no—
578C22⋊C4×C83—41no—
579C22⋊C4×C83—41no—
580C22⋊C4×C83—41no—
581C22⋊C4×C83C22×C414yes—
582C22⋊C4×C83C22×C414yes—
583C42×C83—41no—
584C42×C83—41no—
585C42×C83—41no—
586C42×C83—41no—
587C42×C83C22×C414yes—
588C23×C83—21no—
589C23×C83—21no—
590C23×C83—21no—
591C23×C83—21no—
592C23×C83—21no—
593C23×C83—21no—
594C23×C83—21no—
595C23×C83—21no—
596C23×C83—21no—
597C23×C83—21no—
598C23×C83C23×C412yes—
599C23×C83C23×C412yes—
600C23×C83H(5,𝔽2)12yes—
601C23×C83H(5,𝔽2)12yes—
602C23×C83C2511yescharacteristic
603C22×D83—21no—
604C22×D83—21no—
605C22×D83—21no—
606C22×D83—21no—
607C22×D83—21no—
608C22×D83—21no—
609C22×D83—21no—
610C22×D83—21no—
611C22×D83—21no—
612C22×D83—21no—
613C22×D83—21no—
614C22×D83—21no—
615C22×D83—21no—
616C22×D83—21no—
617C22×D83—21no—
618C22×D83—21no—
619C22×D83—21no—
620C22×D83—21no—
621C22×D83—21no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—28no—
628C22×D83—44no—
629C22×D83—44no—
630C22×D83—44no—
631C22×D83—44no—
632C22×D83—44no—
633C22×D83—82no—
634C22×D83—82no—
635C22×D83—82no—
636C22×D83—82no—
637C22×D83—82no—
638C22×D83—82no—
639C22×D83—82no—
640C22×D83—82no—
641C22×D83C23×C412yes—
642C22×D83C23×C412yes—
643C22×D83C23×C412yes—
644C22×D83C23×C412yes—
645D4×C83—28no—
646C2×C4×C83—21no—
647C2×C4×C83—21no—
648C2×C4×C83—21no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—44no—
681C2×C4×C83—44no—
682C2×C4×C83—82no—
683C2×C4×C83—82no—
684C2×C4×C83C23×C412yes—
685C2×C4×C83C23×C412yes—
686C2×C4×C83C23×C412yes—
687C2×C4×C83C23×C412yes—
688C2×C4×C83C23×C412yes—
689C22⋊D83—28no—
690C22⋊D83—28no—
691C22⋊D83—44no—
692C22⋊D83—44no—
693C2×Dic83—28no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—21no—
702C2×Dic83—21no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—44no—
726C2×Dic83—44no—
727C2×Dic83—44no—
728C2×Dic83C23×C412yes—
729C2×Dic83C23×C412yes—
730C2×Dic83C23×C412yes—
731C2×Dic83C23×C412yes—
732C2×Dic83H(5,𝔽2)12yes—
733D332—44no—
734D332—44no—
735D332—44no—
736D332—44no—
737C4×D83—44no—
738C4×D83—44no—
739C4×D83—82no—
740C4×D83—82no—
741C4×D83—82no—
742C4×D83—82no—
743C4×D83—82no—
744C4×D83—82no—
745Dic166—44no—
746C22×C83—22no—
747C22×C83—22no—
748C22×C83—22no—
749C22×C83—22no—
750C22×C83—22no—
751C22×C83—22no—
752C22×C83—22no—
753C22×C83—22no—
754C22×C83—22no—
755C22×C83—41no—
756C22×C83—41no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83#51814yes—
760C22×C83C24×C411yescharacteristic
761C22×C83C2×H(5,𝔽2)11yescharacteristic
762C22×C83C2×H(5,𝔽2)11yescharacteristic
763C22×C83C2×H(5,𝔽2)11yescharacteristic
764C22×C83#58511yescharacteristic
765C22×C83#58511yescharacteristic
766C22×C83#58511yescharacteristic
767C2×D83—22no—
768C2×D83—22no—
769C2×D83—22no—
770C2×D83—22no—
771C2×D83—22no—
772C2×D83—22no—
773C2×D83—22no—
774C2×D83—22no—
775C2×D83—22no—
776C2×D83—22no—
777C2×D83—22no—
778C2×D83—22no—
779C2×D83—41no—
780C2×D83—41no—
781C2×D83—41no—
782C2×D83—41no—
783C2×D83—41no—
784C2×D83—41no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—88no—
796C2×D83—88no—
797C4×C83—22no—
798C4×C83—22no—
799C4×C83—22no—
800C4×C83—22no—
801C4×C83—22no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807C4×C83—41no—
808C4×C83—41no—
809C4×C83—41no—
810Dic83—22no—
811Dic83—22no—
812Dic83—22no—
813Dic83—22no—
814Dic83—22no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822#34492—831nomaximal, Sylow
823C2×C83—24no—
824C2×C83—42no—
825C2×C83C2×#51811yescharacteristic
826C2×C83#342811yescharacteristic
827C2×C83C4×H(5,𝔽2)11yescharacteristic
828C2×C83#353411yescharacteristic
829C2×C83#354211yescharacteristic
830C2×C83#354511yescharacteristic
831C2×C83#356011yescharacteristic
832D83—42no—
833D83—42no—
834D83—42no—
835D83—42no—
836C2×#546—831no—
837#2378—831no—
838#2377—831no—
839#2376—831no—
840#2375—831no—
841#2372—831no—
842#2364—831no—
843#2363—831no—
844#2359—831no—
845#2358—831no—
846#2353—831no—
847#2353D8311yescharacteristic, complemented
848#2342—831no—
849#2342—831no—
850#2339—831no—
851D4×C22⋊C4—831no—
852#2337—831no—
853#2335—831no—
854#2333—831no—
855#2332—831no—
856#2325—831no—
857#2322—831no—
858#2321—831no—
859#2321—831no—
860#2319—831no—
861#2312—831no—
862#2311—831no—
863#2308—831no—
864C4×#121—831no—
865#2290—831no—
866C2×#388—831no—
867C83#3449211yescharacteristic, complemented, Sylow
868C22×#41—831no—
869C23×D4—831no—
870#546—8316no—
871C2×#124—831no—
872C2×#123—831no—
873C2×#123—831no—
874C2×C22⋊Q8—831no—
875C2×#121—831no—
876C2×#121—831no—
877C2×#121—831no—
878C2×#120—831no—
879C2×#120—831no—
880C2×C4×D4—831no—
881C2×C4×D4—831no—
882C2×C4×D4—831no—
883C2×C4×D4—831no—
884C2×C4×D4—831no—
885C2×C4×D4—831no—
886C2×C4×D4—831no—
887C2×C4×D4C2×D8311yescharacteristic
888C2×#117—831no—
889C2×#117—831no—
890C22×C4⋊C4—831no—
891C22×C22⋊C4—831no—
892C22×C22⋊C4—831no—
893C22×C22⋊C4—831no—
894C22×C22⋊C4—831no—
895C22×C22⋊C4—831no—
896C22×C22⋊C4—831no—
897C22×C42—831no—
898#391—831no—
899#391—831no—
900#391—831no—
901#391—831no—
902#390—831no—
903#390—831no—
904#390—831no—
905#390—831no—
906#390—831no—
907#390—831no—
908#390—831no—
909#390—831no—
910#389—831no—
911#389—831no—
912#389—831no—
913#389—831no—
914#388—831no—
915#388—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388—831no—
930#388—831no—
931#388—831no—
932#388—831no—
933#388—831no—
934#388—831no—
935#388—831no—
936#388—831no—
937#388—831no—
938#388—831no—
939#388—831no—
940#388—831no—
941#388—831no—
942#388C2×D8311yescharacteristic, complemented
943#388C2×D8311yescharacteristic, complemented
944#387—831no—
945#387—831no—
946#387—831no—
947#387—831no—
948#387—831no—
949#387—831no—
950#387—831no—
951#387—831no—
952#387C2×D8311yescharacteristic, complemented
953#387C2×D8311yescharacteristic, complemented
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386—831no—
966#386—831no—
967#386—831no—
968#386—831no—
969#386—831no—
970#386—831no—
971#386—831no—
972#386—831no—
973#386—831no—
974#386C2×D8311yescharacteristic
975#386C2×D8311yescharacteristic
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
984#383C2×D8311yescharacteristic, complemented
985#381—831no—
986#381—831no—
987#381—831no—
988#381—831no—
989#381C2×D8311yescharacteristic, complemented
990#380—831no—
991#380—831no—
992#380—831no—
993#380—831no—
994#380—831no—
995#380—831no—
996#380C2×D8311yescharacteristic, complemented
997#379—831no—
998#379—831no—
999#379—831no—
1000#379—831no—
1001C4×C4⋊C4—831no—
1002C4×C4⋊C4—831no—
1003C4×C4⋊C4—831no—
1004C4×C22⋊C4—831no—
1005C4×C22⋊C4—831no—
1006C4×C22⋊C4—831no—
1007C4×C22⋊C4—831no—
1008C4×C22⋊C4—831no—
1009C4×C22⋊C4—831no—
1010C4×C22⋊C4—831no—
1011C4×C22⋊C4—831no—
1012C4×C22⋊C4—831no—
1013C4×C22⋊C4—831no—
1014C4×C22⋊C4—831no—
1015C4×C22⋊C4—831no—
1016C4×C22⋊C4C2×D8311yescharacteristic, complemented
1017C4×C22⋊C4C2×D8311yescharacteristic, complemented
1018C4×C22⋊C4C2×D8311yescharacteristic, complemented
1019#376—831no—
1020#376C2×D8311yescharacteristic, complemented
1021C2×#95—831no—
1022C2×#95—831no—
1023C2×#95C2×D8311yescharacteristic, complemented
1024C25—831no—
1025C25—831no—
1026C2×#41—3322no—
1027C2×#41—3322no—
1028C2×#41—838no—
1029C22×Q8—831no—
1030C22×D4—3322no—
1031C22×D4—3322no—
1032C22×D4—831no—
1033C22×D4—831no—
1034C22×D4—838no—
1035C22×D4—831no—
1036C22×D4—831no—
1037C22×D4—831no—
1038C22×D4—831no—
1039C22×D4—831no—
1040C22×D4—831no—
1041C22×D4C22×D8311yescharacteristic
1042C23×C4—831no—
1043C23×C4—831no—
1044C23×C4—831no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—831no—
1049C23×C4—831no—
1050C23×C4—831no—
1051C23×C4—831no—
1052C23×C4—831no—
1053C23×C4—831no—
1054C23×C4C22×D8311yescharacteristic
1055C23×C4C22×D8311yescharacteristic
1056C23×C4C22×D8311yescharacteristic
1057C23×C4C22×D8311yescharacteristic
1058#124—838no—
1059#123—838no—
1060#123—838no—
1061C22⋊Q8—838no—
1062#121—838no—
1063#121—838no—
1064#121—838no—
1065#120—838no—
1066#120—838no—
1067C4×D4—3322no—
1068C4×D4—3322no—
1069C4×D4—3322no—
1070C4×D4—3322no—
1071C4×D4—3322no—
1072C4×D4—3322no—
1073C4×D4—838no—
1074C4×D4C4×D8318yescomplemented
1075#117—3322no—
1076#117—3322no—
1077C2×C4⋊C4—3322no—
1078C2×C4⋊C4—831no—
1079C2×C4⋊C4—831no—
1080C2×C4⋊C4—831no—
1081C2×C4⋊C4—831no—
1082C2×C4⋊C4—831no—
1083C2×C4⋊C4—831no—
1084C2×C4⋊C4—831no—
1085C2×C4⋊C4—831no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4C22×D8311yescharacteristic
1096C2×C4⋊C4C22×D8311yescharacteristic
1097C2×C4⋊C4C22×D8311yescharacteristic
1098C2×C22⋊C4—3322no—
1099C2×C22⋊C4—3322no—
1100C2×C22⋊C4—3322no—
1101C2×C22⋊C4—3322no—
1102C2×C22⋊C4—831no—
1103C2×C22⋊C4—831no—
1104C2×C22⋊C4—831no—
1105C2×C22⋊C4—831no—
1106C2×C22⋊C4—831no—
1107C2×C22⋊C4—831no—
1108C2×C22⋊C4—831no—
1109C2×C22⋊C4—831no—
1110C2×C22⋊C4—831no—
1111C2×C22⋊C4—831no—
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—838no—
1130C2×C22⋊C4—838no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4—831no—
1142C2×C22⋊C4—831no—
1143C2×C22⋊C4—831no—
1144C2×C22⋊C4—831no—
1145C2×C22⋊C4—831no—
1146C2×C22⋊C4C22×D8311yescharacteristic
1147C2×C22⋊C4C22×D8311yescharacteristic
1148C2×C22⋊C4C22×D8311yescharacteristic
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C22⋊C4C22×D8311yescharacteristic
1151C2×C22⋊C4C22×D8311yescharacteristic
1152C2×C22⋊C4C22×D8311yescharacteristic
1153C2×C22⋊C4C22×D8311yescharacteristic
1154C2×C42—3322no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42—831no—
1159C2×C42—831no—
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42—831no—
1166C2×C42—831no—
1167C2×C42C22×D8311yescharacteristic
1168C2×C42C22×D8311yescharacteristic
1169C2×C42C22×D8311yescharacteristic
1170C2×C42C22×D8311yescharacteristic
1171C2×C42C22×D8311yescharacteristic
1172#95—831no—
1173#95—831no—
1174#95—831no—
1175#95—831no—
1176#95—831no—
1177#95—831no—
1178#95—831no—
1179#95—831no—
1180#95—831no—
1181#95—831no—
1182#95—831no—
1183#95—831no—
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95C22×D8311yescharacteristic
1199#95C22×D8311yescharacteristic
1200#95C22×D8311yescharacteristic
1201#95C22×D8311yescharacteristic
1202#95C22×D8311yescharacteristic
1203#95C22×D8311yescharacteristic
1204#95C22×D8311yescharacteristic
1205#95C22×D8311yescharacteristic
1206#95C22×D8311yescharacteristic
1207#95C22×D8311yescharacteristic
1208#95C22×D8311yescharacteristic
1209#95C22×D8311yescharacteristic
1210#95C22×D8311yescharacteristic
1211#95C22×D8311yescharacteristic
1212C24—3321no—
1213C24—3321no—
1214C24—3321no—
1215C24—3321no—
1216C24—3321no—
1217C24—3321no—
1218C24—3321no—
1219C24—3321no—
1220C24—3321no—
1221C24—3321no—
1222C24—834no—
1223C24—834no—
1224C24—831no—
1225C24—831no—
1226C24—831no—
1227C24—831no—
1228C24—1662no—
1229C24—1662no—
1230C24C23×D8311yescharacteristic
1231C24C23×D8311yescharacteristic
1232#41—33216no—
1233C2×Q8—3321no—
1234C2×Q8—3321no—
1235C2×Q8—834no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—3321no—
1239C2×D4—3321no—
1240C2×D4—3321no—
1241C2×D4—3321no—
1242C2×D4—3321no—
1243C2×D4—3321no—
1244C2×D4—3321no—
1245C2×D4—3321no—
1246C2×D4—33216no—
1247C2×D4—3321no—
1248C2×D4—3321no—
1249C2×D4—3321no—
1250C2×D4—3321no—
1251C2×D4—834no—
1252C2×D4—834no—
1253C2×D4—834no—
1254C2×D4—834no—
1255C2×D4—834no—
1256C2×D4—834no—
1257C2×D4—834no—
1258C2×D4—834no—
1259C2×D4—1662no—
1260C2×D4—1662no—
1261C2×D4—1662no—
1262C2×D4—1662no—
1263C2×D4C2×C4×D8314yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—3321no—
1275C22×C4—3321no—
1276C22×C4—3321no—
1277C22×C4—3321no—
1278C22×C4—3321no—
1279C22×C4—3321no—
1280C22×C4—3321no—
1281C22×C4—3321no—
1282C22×C4—3321no—
1283C22×C4—3321no—
1284C22×C4—3321no—
1285C22×C4—3321no—
1286C22×C4—3321no—
1287C22×C4—3321no—
1288C22×C4—3321no—
1289C22×C4—3321no—
1290C22×C4—3321no—
1291C22×C4—3321no—
1292C22×C4—3321no—
1293C22×C4—3321no—
1294C22×C4—3321no—
1295C22×C4—3321no—
1296C22×C4—3321no—
1297C22×C4—3321no—
1298C22×C4—3321no—
1299C22×C4—834no—
1300C22×C4—834no—
1301C22×C4—834no—
1302C22×C4—834no—
1303C22×C4—831no—
1304C22×C4—831no—
1305C22×C4—831no—
1306C22×C4—831no—
1307C22×C4—831no—
1308C22×C4—831no—
1309C22×C4—831no—
1310C22×C4—831no—
1311C22×C4—831no—
1312C22×C4—831no—
1313C22×C4—831no—
1314C22×C4—831no—
1315C22×C4—1662no—
1316C22×C4—1662no—
1317C22×C4—1662no—
1318C22×C4—1662no—
1319C22×C4—1662no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4C2×C4×D8314yes—
1323C22×C4C2×C4×D8314yes—
1324C22×C4C23×D8311yescharacteristic
1325C22×C4C23×D8311yescharacteristic
1326C22×C4C23×D8311yescharacteristic
1327C22×C4C23×D8311yescharacteristic
1328C22×C4C23×D8311yescharacteristic
1329C22×C4C23×D8311yescharacteristic
1330C22×C4C23×D8311yescharacteristic
1331C22×C4C23×D8311yescharacteristic
1332C22×C4C23×D8311yescharacteristic
1333C22×C4C23×D8311yescharacteristic
1334C22×C4C23×D8311yescharacteristic
1335C22×C4C23×D8311yescharacteristic
1336C22×C4C23×D8311yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—3321no—
1340C4⋊C4—3321no—
1341C4⋊C4—3321no—
1342C4⋊C4—3321no—
1343C4⋊C4—3321no—
1344C4⋊C4—3321no—
1345C4⋊C4—3321no—
1346C4⋊C4—3321no—
1347C4⋊C4—3321no—
1348C4⋊C4—3321no—
1349C4⋊C4—3321no—
1350C4⋊C4—3321no—
1351C4⋊C4—3321no—
1352C4⋊C4—834no—
1353C4⋊C4—834no—
1354C4⋊C4—834no—
1355C4⋊C4—1662no—
1356C4⋊C4C2×C4×D8314yes—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—3321no—
1364C22⋊C4—3321no—
1365C22⋊C4—3321no—
1366C22⋊C4—3321no—
1367C22⋊C4—3321no—
1368C22⋊C4—3321no—
1369C22⋊C4—3321no—
1370C22⋊C4—3321no—
1371C22⋊C4—3321no—
1372C22⋊C4—3321no—
1373C22⋊C4—3321no—
1374C22⋊C4—3321no—
1375C22⋊C4—3321no—
1376C22⋊C4—3321no—
1377C22⋊C4—3321no—
1378C22⋊C4—3321no—
1379C22⋊C4—3321no—
1380C22⋊C4—3321no—
1381C22⋊C4—3321no—
1382C22⋊C4—3321no—
1383C22⋊C4—3321no—
1384C22⋊C4—3321no—
1385C22⋊C4—3321no—
1386C22⋊C4—3321no—
1387C22⋊C4—3321no—
1388C22⋊C4—3321no—
1389C22⋊C4—3321no—
1390C22⋊C4—834no—
1391C22⋊C4—834no—
1392C22⋊C4—834no—
1393C22⋊C4—834no—
1394C22⋊C4—834no—
1395C22⋊C4—834no—
1396C22⋊C4—834no—
1397C22⋊C4—834no—
1398C22⋊C4—834no—
1399C22⋊C4—834no—
1400C22⋊C4—1662no—
1401C22⋊C4—1662no—
1402C22⋊C4—1662no—
1403C22⋊C4—1662no—
1404C22⋊C4—1662no—
1405C22⋊C4C2×C4×D8314yes—
1406C22⋊C4C2×C4×D8314yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—3321no—
1412C42—3321no—
1413C42—3321no—
1414C42—3321no—
1415C42—3321no—
1416C42—3321no—
1417C42—3321no—
1418C42—3321no—
1419C42—3321no—
1420C42—3321no—
1421C42—1662no—
1422C42—1662no—
1423C42C2×C4×D8314yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—3324no—
1435C23—3324no—
1436C23—3324no—
1437C23—3324no—
1438C23—3324no—
1439C23—832no—
1440C23—832no—
1441C23—832no—
1442C23—832no—
1443C23—6642no—
1444C23—6642no—
1445C23—6642no—
1446C23—6642no—
1447C23—6642no—
1448C23—6642no—
1449C23—6642no—
1450C23—6642no—
1451C23—1661no—
1452C23—1661no—
1453C23—1661no—
1454C23—1661no—
1455C23—1661no—
1456C23—1661no—
1457C23—1661no—
1458C23—1661no—
1459C23—1661no—
1460C23—1661no—
1461C23—1661no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
1465C23—1661no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23—1661no—
1475C23—1668no—
1476C23C22×C4×D8312yes—
1477C23C22×C4×D8312yes—
1478C23#1458183812yes—
1479C23#1458183812yes—
1480C23C24×D8311yescharacteristic
1481Q8—3324no—
1482D4—28no—
1483D4—3324no—
1484D4—3324no—
1485D4—3324no—
1486D4—3324no—
1487D4—3324no—
1488D4—3324no—
1489D4—1668no—
1490D4—1668no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—3324no—
1530C2×C4—3324no—
1531C2×C4—3324no—
1532C2×C4—3324no—
1533C2×C4—3324no—
1534C2×C4—832no—
1535C2×C4—832no—
1536C2×C4—832no—
1537C2×C4—832no—
1538C2×C4—832no—
1539C2×C4—6642no—
1540C2×C4—6642no—
1541C2×C4—6642no—
1542C2×C4—6642no—
1543C2×C4—6642no—
1544C2×C4—6642no—
1545C2×C4—1661no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1668no—
1567C2×C4—1661no—
1568C2×C4—1661no—
1569C2×C4—1661no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4C22×C4×D8312yes—
1578C2×C4C22×C4×D8312yes—
1579C2×C4C22×C4×D8312yes—
1580C2×C4C22×C4×D8312yes—
1581C2×C4C22×C4×D8312yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—3321no—
1596C22—3321no—
1597C22—3321no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—3321no—
1603C22—3321no—
1604C22—3321no—
1605C22—3321no—
1606C22—3321no—
1607C22—3321no—
1608C22—3321no—
1609C22—3321no—
1610C22—3321no—
1611C22—6648no—
1612C22—6648no—
1613C22—1662no—
1614C22—1662no—
1615C22—1662no—
1616C22—1662no—
1617C22—1662no—
1618C22—1662no—
1619C22—1662no—
1620C22—1662no—
1621C22—1662no—
1622C22—1662no—
1623C22—1662no—
1624C22—1662no—
1625C22#1912817514yes—
1626C22C23×C4×D8311yescharacteristic
1627C22H(5,𝔽2)×D8311yescharacteristic
1628C22C2×#1458183811yescharacteristic
1629C22C2×#1458183811yescharacteristic
1630C22#1912853611yescharacteristic
1631C22#1912853711yescharacteristic
1632C22#1912853711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—3321no—
1647C4—3321no—
1648C4—3321no—
1649C4—3321no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—1662no—
1654C4—1662no—
1655C4—1662no—
1656C4—1662no—
1657C4—1662no—
1658C2—24no—
1659C2—42no—
1660C2—3322no—
1661C2—3322no—
1662C2—3322no—
1663C2—3322no—
1664C2C2×#1912817511yescharacteristic
1665C2#2492066211yescharacteristic
1666C2#2492066711yescharacteristic
1667C2#2492164011yescharacteristic
1668C2#2492177211yescharacteristic
1669C2#2492181911yescharacteristic
1670C2#2492201411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutatorC22×C83C24×C4
FittingC83×#2353C2
socle, cosocleC23×C83C25
prime radicalC2×#19128346C2
hypercenter#2353D83
hypocenterC83#34492
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2353

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #24910627C2semidirect
3. #24910618C2semidirect
4. #24910609C2semidirect
5. #24910603C2semidirect
6. #24910573C2semidirect
7. #24910510C2semidirect
8. #24910499C2semidirect
9. #24910457C2semidirect
10. #24910445C2semidirect
11. #24910396C2semidirect
12. #24910309C2semidirect
13. #24910305C2semidirect
14. #24910289C2semidirect
15. #24910281C2semidirect
16. #24910273C2semidirect
17. #24910246C2semidirect
18. #24910225C2semidirect
19. #24910215C2semidirect
20. #24910162C2semidirect
21. #24910134C2semidirect
22. #24910123C2semidirect
23. #24910116C2semidirect
24. #24910107C2semidirect
25. #24910058C2semidirect
26. #24910050C2semidirect
27. #24910037C2semidirect
28. #24909969C2semidirect
29. #24909908C2semidirect
30. C2×#19127590C2semidirect
31. C83×#2353C2semidirect
34. #19128346C4semidirect
45. C2×C4×D332C22semidirect
46. C2×#14581754C22semidirect
48. C2×C4×C22⋊D83C22semidirect
50. C2×(C22⋊D83)⋊C4C22semidirect
51. C2×#14581751C22semidirect
52. C2×#14581748C22semidirect
53. C22×Dic83⋊C4C22semidirect
60. C22×C4×Dic83C22semidirect
61. #19127605C22semidirect
62. #19127605C22semidirect
63. #19127605C22semidirect
64. #19127605C22semidirect
67. #19127603C22semidirect
68. #19127602C22semidirect
71. #19127601C22semidirect
72. #19127601C22semidirect
73. #19127599C22semidirect
74. #19127599C22semidirect
75. #19127599C22semidirect
76. #19127597C22semidirect
77. #19127594C22semidirect
78. #19127594C22semidirect
81. #19127593C22semidirect
82. #19127593C22semidirect
85. #19127592C22semidirect
86. #19127592C22semidirect
87. #19127592C22semidirect
88. #19127592C22semidirect
97. #19127590C22semidirect
98. #19127590C22semidirect
99. #19127590C22semidirect
100. #19127590C22semidirect
101. #19127590C22semidirect
102. #19127590C22semidirect
103. #19127590C22semidirect
104. #19127590C22semidirect
105. #19127587C22semidirect
106. #19127587C22semidirect
107. #19127586C22semidirect
108. #19127586C22semidirect
109. #19127586C22semidirect
110. #19127586C22semidirect
111. #19127584C22semidirect
112. #19127584C22semidirect
116. #19127580C22semidirect
123. #19127579C22semidirect
124. #19127579C22semidirect
125. #19127579C22semidirect
126. #19127579C22semidirect
128. #19127578C22semidirect
131. #19127577C22semidirect
132. #19127577C22semidirect
133. #19127576C22semidirect
134. #19127576C22semidirect
135. #19127575C22semidirect
136. #19127575C22semidirect
137. #19127575C22semidirect
138. #19127575C22semidirect
139. #19127572C22semidirect
140. #19127572C22semidirect
143. #19127563C22semidirect
144. #19127562C22semidirect
146. #19127560C22semidirect
147. #19127560C22semidirect
148. #19127559C22semidirect
149. #19127559C22semidirect
150. #19127559C22semidirect
155. C4⋊C4×Dic83C22semidirect
156. C4×C4⋊Dic83C22semidirect
157. C4×C4⋊Dic83C22semidirect
158. C22⋊C4×Dic83C22semidirect
159. C4×(C2×D83)⋊C4C22semidirect
160. C4×(C2×D83)⋊C4C22semidirect
161. C4×C22⋊Dic83C22semidirect
162. C4×C22⋊Dic83C22semidirect
164. #19127548C22semidirect
165. #19127548C22semidirect
166. #19127548C22semidirect
167. #19127548C22semidirect
168. #19127548C22semidirect
169. #19127548C22semidirect
170. #19127547C22semidirect
171. C2×C83⋊#95C22semidirect
172. #95×D83C22semidirect
174. #388×C83C22semidirect
175. #388×C83C22semidirect
176. #387×C83C22semidirect
177. #387×C83C22semidirect
180. #383×C83C22semidirect
181. #381×C83C22semidirect
182. #380×C83C22semidirect
183. C4×C22⋊C4×C83C22semidirect
184. C4×C22⋊C4×C83C22semidirect
185. C4×C22⋊C4×C83C22semidirect
186. #376×C83C22semidirect
187. C2×#95×C83C22semidirect
192. C2×#13050589C2×C4semidirect
204. C2×D4×D83C2×C4semidirect
217. #14581780C2×C4semidirect
218. #14581776C2×C4semidirect
219. #14581776C2×C4semidirect
220. #14581772C2×C4semidirect
221. #14581767C2×C4semidirect
222. #14581766C2×C4semidirect
223. #14581766C2×C4semidirect
224. #14581762C2×C4semidirect
225. #14581762C2×C4semidirect
227. C4×D332C2×C4semidirect
261. C2×(C2×D83)⋊C4C2×C4semidirect
262. C2×(C2×D83)⋊C4C2×C4semidirect
345. C4×D4×C83C2×C4semidirect
847. #2353D83semidirect
867. C83#34492semidirect
942. #388C2×D83semidirect
943. #388C2×D83semidirect
952. #387C2×D83semidirect
953. #387C2×D83semidirect
984. #383C2×D83semidirect
989. #381C2×D83semidirect
996. #380C2×D83semidirect
1016. C4×C22⋊C4C2×D83semidirect
1017. C4×C22⋊C4C2×D83semidirect
1018. C4×C22⋊C4C2×D83semidirect
1020. #376C2×D83semidirect
1023. C2×#95C2×D83semidirect
1074. C4×D4C4×D83semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#191283462
#249106272
#249106182
#249106092
#249106032
#249105732
#249105102
#249104992
#249104572
#249104452
#249103962
#249103092
#249103052
#249102892
#249102812
#249102732
#249102462
#249102252
#249102152
#249101622
#249101342
#249101232
#249101162
#249101072
#249100582
#249100502
#249100372
#249099692
#249099082
C2×#191275902
C83×#23532
#3449283